Alexander the Great - my all time favourite, I could tell stories about him an entire day long. Very interesting is his his campaign against king Porus in India.
Most of you will know Leonidas, the brave king of Sparta who defeated the Persian army among king Xerxes I. at the battle of Thermophylae 480 BC. But most of you might not know Themistocles, the Athenian citizen from humble homes. Thanks to the ancient Greek gods Athens established democracy by that time so this man was able to reach political power to be able to plan and execute the defence plan against the Persian Invasion in 480 BC. Without Themistocles, Thermophylae would never have been fought out. And without Themistocles, the brave leader of the naval forces of the Greeks at the naval battle at Artemision 480 BC, the Persians would have attacked Leonidas from the seaside as well which would have led into total defeat of the Greeks.
Besides them, Pericles and Miltiades deserve being mentioned with them in one breath as well. Pericles's been the supreme politician of Athens, war leader during the first stage of the Peloponnesian War and diplomatic agent at a time, pushing forward Athens' hegemony inside the Delian League. Miltiades managed to defeat the Persians at Marathon in 490 BC as they tried to vanquish and completely destroy Athens the first time.
Gaius Iulius Caesar - shame you forgot that remarkable roman war general in your initial post.
Carolingian dynasty brought up a couple of great commanders, too. Starting up with Charles Martel who chased away the The Arabians/Moors in the battle between the french villages Tours and Poiters in 732. Second one we must not forget of is Charles the Great, of course. Timeless is his glory, priceless the success he achieved and incontrovertible is his influence on the creation of Europe.
Not that successfull in battle, though a remarkable charakter to me is Marcus Licinius Crassus, one member of the first triumvirate besides Gaius Julius Caesar and Gnaeus Pompeius Magnus (as well known as Pompey the Great- another awesome war general with success in Iberia (Spain), then vanished to Greece in fear of his own life before he has been killed by Julius Caesar at ).
Marcus Crassus stopped the mutiny of Spartacus 71 BC and was known to be the richest man in Rome (which can be seen as the richest man of the world by that time, Caesar has been plunged in debt due to his political engagement, despite the haul he gained from exploiting Gaul). Crassus set up an army by himself to politically catch up with Caesar and started a campaign against Parthia in Mideast (formerly Persian Empire) and has been totally reamed by their mounted archers and heavy cavalry (which are called 'Cataphracts') at the Battle of Carrhae 53 BC.
Besides Gaius Marius (inventor of the most effective Roman War Technique on the base of cohort system, vanquisher over the Gauls at the Battle of Aquae Sextiae 102 BC), Flavius Aetius, the man who succeeded in appeasing Attila the Hun politically, then attempted to banish Attila militarily off Gaul for a while until Flavius has been stabbed due to his own emperor's command in 455 AD. I'm sure I forgot the one or the other roman war commander, these are just the ones who came up to my mind right now. Oh, and Constantin I., the Great, who initialized Christianity starting its successful way in Europe, as well as his tremendous victory in Battle of the Milvian Bridge 312 in which 'sign he conquered' (in hoc signo vinces).
William I. The Normans often tried to conquer England completely, but never succeeded everlasting. William the Conqueror finally did. His opponent Harold Godwinson, who allegedly has stolen the throne of England off William, has been debilitated in a battle against at Stamford Bridge in September 1066. This was Williams chance to head for the throne. While Harald Hardrada (Harald Sigurdsson), king of Norway, attacked Harold in the north of at Stamford Bridge, William shipped his army through the channel to Pevensey, East Sussex. Both emperors met at Hastings on 14th October 1066, the following horrific, for this period quite long lasting, battle finally ended the war between William and Harold, last one has been killed on the battle field by a bow arrow that has hit his eye. William has been crowned to the king of England that same year.
Richard I., The Lionheart- Check out the battle at Arsuf- keen strategy by an even keener general who always kept his patience in that desperate situation. His main target in this campaign, the capture of Jerusalem, has never been achieved, though.
Ṣalāḥ ad-Dīn Yūsuf ibn Ayyūb - we Europeans know that genious general under the name of Saladin- another war lord who deserves being mentioned in a range with Alexander, Caesar and Napoleon I.
He fixed political instability, survived plenty of assassination attempts and took Jerusalem off the hands of the Europeans during the 2nd crusade among dozens of other military successes. Bloody calculation at the Battle of Hattin in 1187 - a master piece of medieval warfare, the Christs have reached their peak of influence in the Holy Land and went down from then on.
Let's catch up with Henry V. and his remarkable victory at Agincourt in 1415. Studied that battle plenty of times, this one is worth spending your time on. Besides Henry V., medieval England brought up dozens of great warlords.
Thirty-Years War (1618-1648) brought up lots of brilliant military leaders as well, such as Johann Tserclaes, Count of Tilly, Gustav II Adolf, king of Sweden and Albrecht Wenzel Eusebius von Wallenstein just to mention a few out of a huge range of leaders. A though time for the farmers. 1/3 of the population of Europe has been extermined in about 55 years of environmental catastrophes and 30 years of warfare.
Ever heard of Frederick II., King of the enlighted Prussia? You'll definitely know him as Frederick the Great, member of the House of the Hohenzollern, opponent of Maria Theresa, female ruler of Habsburg dominions. As I'm Austrian, I could tell stories and anecdotes about this noble dynasty which led big areas in Europe and America for more than 600 years an entire night long. Frederick's been a genius on the battle field. Look up the battles at Hohenfriedberg, Rossbach, and Leuthen. His father initiated the building of the most powerful army by that period, his son Frederick finished the job and managed to capture huge areas during his tough military reign.
Field Marshal Arthur Wellesley, 1st Duke of Wellington - the man who defeated Napoleon Bonaparte in the Battle of Waterloo in 1815 which led into banishment of Napoleon to St. Helena, the place he died due to cancer in 1821. The Prussian war general Blucher helped out Sir Arthur Wellesley to defeat the French army at Waterloo, he nearly arrived at the 'hot zone' too late, though.
Robert Edward Lee (Confederacy), Hiram Ulysses (S.) Grant (United States (Union), George B. McClellan (United States (Union) and George G. Meade (United States (Union)the most successful war generals during the War of Secession in America. Gettysburg in 1863 determined the winner of the war, as Edward E. Lee was no longer following the rules of The Art of War by Sun Tzu (in the first place he has success fighting on Union's floor, but at Gettysburg he gave command to attack from the bottom fighting up to the top of Cemetery Ridge instead of forcing the Union army to leave their impregnable position to safe their capital Washington D.C.).
Manfred Albrecht Freiherr von Richthofen - no comment, everybody shall know the Red Baron. His top maxim was 'Never attack an enemy if you can't win'. He died at the age of 25, few months before the end of the war, though achieved being the most successful fighter pilot in WW I, leader of JaSta 11 (JaSta, short for 'Jagdstaffel', which means fighter squadron).
As we all should agree in Hitler can not be seriously called a military general at all, some of his generals truly deserve at least a bit of tribute. SS- army corps, which were under Heinrich Himmler's command, can be accounted to the brutal genocide, though they haven't done these indictable offences by their own. The German's main army, the 'Wehrmacht', had done their part to these crimes as well. Nevertheless, the Wehrmacht has fought brilliant battles, mostly the Germans have been outnumbered, especially at the Eastern Front and during the campaign in Africa.
In my opinion, the most brilliant German war generals have been Erwin J. Eugen Rommel, Erich von Manstein, Heinz Wilhelm Guderian (read his book, very interesting!) and Walther Model (known for his talent for defensive battles). Although they still are known as brave and keen commanders, always using their brain first instead of willingly executing the (often senseless) commands by Hitler, they still were involved in the genocide and crime the Germans had done during WW II.